An open channel is a stream in hydraulics that is often partially exposed to the atmosphere and not entirely confined by solid limits. Manning's equation, which has the following formula, may be used to calculate the flow rate of a cross- section of a channel under uniform flow circumstances for open channel flows. 1 AR²/351/2 Flow rate = cross- Roughness coefficient of sectional Manning area Cross section's radius in hydraulic slope Channel Your team's task is to determine the optimal open channel dimensions for a given flow rate, roughness coefficient, and slope. To calculate the height of a rectangular section given its base, you should develop a program. For rectangular cross-sectioned open channels with dimensions band h: P₁ = b + 2h A = bh R = = 6+2h Where A is the cross-sectional area, Pw is the wetted perimeter, R is the hydraulic radius, b is the base and his the height Create a C program that incorporates the remarks and guidelines below: 1. Request input from the user for the following values: Q, n, 5, and b. The roughness coefficient should range from 0.010 to 0.025 (inclusive), the slope should be less than or equal to 0.01 and all values should be positive. Request for input again and again until an appropriate value is provided. 2. Apply the Secant and Regula-Falsi techniques to get the height of the rectangular cross-section. The maximum number of repetitions for both methods should be 50, and the tolerance for either method should be set at 0.000001 (10e-6). 2.1. Print to screen a table with a summary of your iterations for the secant method. There should be six columns in your output: iteration number, x_n-1, fix_n-1), x_n, and absolute error. 2.2. While print to screen a table with the summary of your iterations for the Regula-Falsi method. Iteration number, a, b, f(a), f(b), c, fic), and absolute error, should be the 8 columns in your output. 3. Additionally, the program will notify users each time one of the following situations arises: A. If one or more of the input section parameters (Q, n, 5, or b) are negative, the program should stop solving. B. If the starting interval used for the Regula-Falsi Method is invalid for one of the following reasons, the program should not attempt to solve for the height: 81. Neither the root nor the solution is included in the interval. 82. The initial interval has at least one negative endpoint. C. The maximum number of iterations is attained but the tolerance requirement is not achieved.
An open channel is a stream in hydraulics that is often partially exposed to the atmosphere and not entirely confined by solid limits. Manning's equation, which has the following formula, may be used to calculate the flow rate of a cross- section of a channel under uniform flow circumstances for open channel flows. 1 AR²/351/2 Flow rate = cross- Roughness coefficient of sectional Manning area Cross section's radius in hydraulic slope Channel Your team's task is to determine the optimal open channel dimensions for a given flow rate, roughness coefficient, and slope. To calculate the height of a rectangular section given its base, you should develop a program. For rectangular cross-sectioned open channels with dimensions band h: P₁ = b + 2h A = bh R = = 6+2h Where A is the cross-sectional area, Pw is the wetted perimeter, R is the hydraulic radius, b is the base and his the height Create a C program that incorporates the remarks and guidelines below: 1. Request input from the user for the following values: Q, n, 5, and b. The roughness coefficient should range from 0.010 to 0.025 (inclusive), the slope should be less than or equal to 0.01 and all values should be positive. Request for input again and again until an appropriate value is provided. 2. Apply the Secant and Regula-Falsi techniques to get the height of the rectangular cross-section. The maximum number of repetitions for both methods should be 50, and the tolerance for either method should be set at 0.000001 (10e-6). 2.1. Print to screen a table with a summary of your iterations for the secant method. There should be six columns in your output: iteration number, x_n-1, fix_n-1), x_n, and absolute error. 2.2. While print to screen a table with the summary of your iterations for the Regula-Falsi method. Iteration number, a, b, f(a), f(b), c, fic), and absolute error, should be the 8 columns in your output. 3. Additionally, the program will notify users each time one of the following situations arises: A. If one or more of the input section parameters (Q, n, 5, or b) are negative, the program should stop solving. B. If the starting interval used for the Regula-Falsi Method is invalid for one of the following reasons, the program should not attempt to solve for the height: 81. Neither the root nor the solution is included in the interval. 82. The initial interval has at least one negative endpoint. C. The maximum number of iterations is attained but the tolerance requirement is not achieved.
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Code a c
Transcribed Image Text:An open channel is a stream in hydraulics that is often partially exposed to the atmosphere and not entirely confined by
solid limits. Manning's equation, which has the following formula, may be used to calculate the flow rate of a cross-
section of a channel under uniform flow circumstances for open channel flows.
Flow rate
_Q=
=
1
- AR2/35¹/2
n
Roughness
coefficient of
Manning
Cross-
sectional
area
R:
Cross
section's
radius in
hydraulic
Your team's task is to determine the optimal open channel dimensions for a given flow rate, roughness coefficient, and
slope. To calculate the height of a rectangular section given its base, you should develop a program.
For rectangular cross-sectioned open channels with dimensions b and h:
P₁ = b + 2h
A = bh
A
bh
slope
Channel
Where A is the cross-sectional area, Pw is the wetted perimeter, R is the hydraulic radius, b is the base and his the
height.
Create a C program that incorporates the remarks and guidelines below:
1. Request input from the user for the following values: Q, n, S, and b. The roughness coefficient should range
from 0.010 to 0.025 (inclusive), the slope should be less than or equal to 0.01 and all values should be positive.
Request for input again and again until an appropriate value is provided.
2. Apply the Secant and Regula-Falsi techniques to get the height of the rectangular cross-section. The maximum
number of repetitions for both methods should be 50, and the tolerance for either method should be set at
0.000001 (10e-6).
2.1. Print to screen a table with a summary of your iterations for the secant method. There should be six
columns in your output: iteration number, x_n-1, f(x_n-1), x_n, and absolute error.
2.2. While print to screen a table with the summary of your iterations for the Regula-Falsi method. Iteration
number, a, b, f(a), f(b), c, f(c), and absolute error, should be the 8 columns in your output.
3. Additionally, the program will notify users each time one of the following situations arises:
A. If one or more of the input section parameters (Q, n, S, or b) are negative, the program should stop solving.
B. If the starting interval used for the Regula-Falsi Method is invalid for one of the following reasons, the
program should not attempt to solve for the height:
B1. Neither the root nor the solution is included in the interval.
B2. The initial interval has at least one negative endpoint.
C. The maximum number of iterations is attained but the tolerance requirement is not achieved.
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